2+3(5-2x)=-(x+1)+23

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Solution for 2+3(5-2x)=-(x+1)+23 equation: 


Simplifying
2 + 3(5 + -2x) = -1(x + 1) + 23
2 + (5 * 3 + -2x * 3) = -1(x + 1) + 23
2 + (15 + -6x) = -1(x + 1) + 23

Combine like terms: 2 + 15 = 17
17 + -6x = -1(x + 1) + 23

Reorder the terms:
17 + -6x = -1(1 + x) + 23
17 + -6x = (1 * -1 + x * -1) + 23
17 + -6x = (-1 + -1x) + 23

Reorder the terms:
17 + -6x = -1 + 23 + -1x

Combine like terms: -1 + 23 = 22
17 + -6x = 22 + -1x

Solving
17 + -6x = 22 + -1x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add 'x' to each side of the equation.
17 + -6x + x = 22 + -1x + x

Combine like terms: -6x + x = -5x
17 + -5x = 22 + -1x + x

Combine like terms: -1x + x = 0
17 + -5x = 22 + 0
17 + -5x = 22

Add '-17' to each side of the equation.
17 + -17 + -5x = 22 + -17

Combine like terms: 17 + -17 = 0
0 + -5x = 22 + -17
-5x = 22 + -17

Combine like terms: 22 + -17 = 5
-5x = 5

Divide each side by '-5'.
x = -1

Simplifying
x = -1

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